Fundamentals of Real Analysis (Part 3: Continuity, Differentiability, and Mean Value Theorems)

Released on by Dr Jitendra Singh
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  • Fundamentals of Real Analysis (Part 3: Continuity, Differentiability, and Mean Value Theorems) Book Detail

  • Author : Dr Jitendra Singh
  • Release Date : 2024-09-29
  • Publisher : Dr. Jitendra Singh
  • Genre : Education
  • Pages : 131
  • ISBN 13 :
  • File Size : 4,4 MB
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Fundamentals of Real Analysis (Part 3: Continuity, Differentiability, and Mean Value Theorems) by Dr Jitendra Singh PDF Summary

Book Description: This book is crafted to guide students preparing for the NET (JRF) and other competitive exams in mathematics, with a focus on essential concepts in continuity, differentiability, and mean value theorems. Covering crucial topics, it begins with an in-depth exploration of continuity and uniform continuity, addressing definitions, properties, and real-world applications. Subsequent chapters delve into differentiability and the Mean Value Theorem, emphasizing foundational theorems and their practical implications. The study of sequences and series of functions, including pointwise and uniform convergence, is thoroughly examined, with attention to key tests and applications. Finally, uniform convergence is explored in detail, highlighting its interplay with differentiation, integration, and power series. This comprehensive approach ensures a robust understanding crucial for competitive examinations.

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